Peter Dixon
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View article: A DSGE Consumption Function in a CGE Model: Parameter Estimation by CGE Simulation*
A DSGE Consumption Function in a CGE Model: Parameter Estimation by CGE Simulation* Open
DSGE models incorporate attractive theoretical specifications of the behaviour of forward‐looking consumers facing an uncertain future. Central to these specifications is the idea that consuming agents decide their consumption level in yea…
View article: Neighborhood Variants of the KKM Lemma, Lebesgue Covering Theorem, and Sperner's Lemma on the Cube
Neighborhood Variants of the KKM Lemma, Lebesgue Covering Theorem, and Sperner's Lemma on the Cube Open
We establish a "neighborhood" variant of the cubical KKM lemma and the Lebesgue covering theorem and deduce a discretized version which is a "neighborhood" variant of Sperner's lemma on the cube. The main result is the following: for any c…
View article: Geometry of Rounding: Near Optimal Bounds and a New Neighborhood Sperner's Lemma
Geometry of Rounding: Near Optimal Bounds and a New Neighborhood Sperner's Lemma Open
A partition $\mathcal{P}$ of $\mathbb{R}^d$ is called a $(k,\varepsilon)$-secluded partition if, for every $\vec{p} \in \mathbb{R}^d$, the ball $\overline{B}_{\infty}(\varepsilon, \vec{p})$ intersects at most $k$ members of $\mathcal{P}$. …
View article: List and Certificate Complexities in Replicable Learning
List and Certificate Complexities in Replicable Learning Open
We investigate replicable learning algorithms. Ideally, we would like to design algorithms that output the same canonical model over multiple runs, even when different runs observe a different set of samples from the unknown data distribut…
View article: H. David Evans, 1941–2022: Progenitor of Computable General Equilibrium Modelling in Australia
H. David Evans, 1941–2022: Progenitor of Computable General Equilibrium Modelling in Australia Open
David Evans was an Australian who completed a path-breaking PhD thesis at Harvard in 1968 under the supervision of Wassily Leontief. The thesis set out Australia’s first computable general equilibrium (CGE) model, with an application to an…
View article: Geometry of Rounding
Geometry of Rounding Open
Rounding has proven to be a fundamental tool in theoretical computer science. By observing that rounding and partitioning of $\mathbb{R}^d$ are equivalent, we introduce the following natural partition problem which we call the {\em seclude…
View article: Interstellar Object Accessibility and Mission Design
Interstellar Object Accessibility and Mission Design Open
Interstellar objects (ISOs) represent a compelling and under-explored category of celestial bodies, providing physical laboratories to understand the formation of our solar system and probe the composition and properties of material formed…
View article: Pseudodeterminism: promises and lowerbounds
Pseudodeterminism: promises and lowerbounds Open
A probabilistic algorithm A is pseudodeterministic if, on every input, there exists a canonical value that is output with high probability. If the algorithm outputs one of k canonical values with high probability, then it is called a k-pse…
View article: Who will pay for workplace reforms in U.S. meat‐processing plants? Simulation results from the USAGE model*
Who will pay for workplace reforms in U.S. meat‐processing plants? Simulation results from the USAGE model* Open
It is possible that COVID will trigger permanent changes in work practices that increase costs in U.S. meat‐processing plants. These changes will be beneficial for the safety and economic welfare of meat‐processing workers. However, they w…
View article: The Brief History of Modern English Literature
The Brief History of Modern English Literature Open
Critical pedagogy is fundamentally and ultimately linked with critical literacy. There can be no liberation of self or other without tools or language to perform counter-readings of dominant texts that serve the interests of power. Paulo F…
View article: Finance in a global CGE model: the effects of financial decoupling between the U.S. and China
Finance in a global CGE model: the effects of financial decoupling between the U.S. and China Open
We add to the GTAP model a financial module built around an 18-region asset-liability matrix. A financial agent in each region takes account of expected rates of return in allocating the regions financial budget between domestic capital an…
View article: Modeling the Economic Effects of Increased Drop-out Rates from High School
Modeling the Economic Effects of Increased Drop-out Rates from High School Open
With Covid, high-school students are having difficulty staying in school. We present a dynamic model of the effects of increased drop-out rates. The model accounts for labor productivity, crime costs and high-school savings. We simulate a …
View article: Coping with seasonality in a quarterly CGE model: COVID‐19 and U.S. agriculture<sup>*</sup>
Coping with seasonality in a quarterly CGE model: COVID‐19 and U.S. agriculture<sup>*</sup> Open
Most dynamic CGE models work with periods of 1 year. This limits their applicability for analysing the effects of shocks that operate over a short period or with different intensities through a year. It is relatively easy to convert an ann…
View article: Promise Problems Meet Pseudodeterminism
Promise Problems Meet Pseudodeterminism Open
The Acceptance Probability Estimation Problem (APEP) is to additively approximate the acceptance probability of a Boolean circuit. This problem admits a probabilistic approximation scheme. A central question is whether we can design a pseu…
View article: Coping with seasonality in a quarterly CGE model: COVID-19 and U.S. agriculture
Coping with seasonality in a quarterly CGE model: COVID-19 and U.S. agriculture Open
Most dynamic CGE models work with periods of 1 year. This limits their applicability for analysing the effects of shocks that operate over a short period or with different intensities through a year. It is relatively easy to convert an ann…
View article: Complete Problems for Multi-Pseudodeterministic Computations
Complete Problems for Multi-Pseudodeterministic Computations Open
We exhibit several computational problems that are complete for multi-pseudodeterministic computations in the following sense: (1) these problems admit 2-pseudodeterministic algorithms (2) if there exists a pseudodeterministic algorithm fo…
View article: Assessing Evidence for Replication: A Likelihood-Based Approach
Assessing Evidence for Replication: A Likelihood-Based Approach Open
How to evaluate replications is a fundamental issue in experimental methodology. We develop a likelihood-based approach to assessing evidence for replication. In this approach, the design of the original study is used to derive an estimate…
View article: Developing a DSGE consumption function for a CGE model
Developing a DSGE consumption function for a CGE model Open
DSGE models incorporate attractive theoretical specifications of the behaviour of forward-looking households facing an uncertain future. Central to these specifications is the idea that households decide their consumption level in year t b…
View article: Melitz in GTAP Made Easy: the A2M Conversion Method and Result Interpretation
Melitz in GTAP Made Easy: the A2M Conversion Method and Result Interpretation Open
Since the 1970s, Armington has been the workhorse specification of trade in computable general equilibrium (CGE) models. Under Armington, agents substitute between products from different countries. Conceptually, Melitz provides a more att…
View article: Melitz in GTAP Made Easy: the A2M Conversion Method and Result Interpretation
Melitz in GTAP Made Easy: the A2M Conversion Method and Result Interpretation Open
Since the 1970s the Armington approach has been the workhorse specification of trade in CGE models.Under Armington, agents substitute between products from different countries.Conceptually, Melitz provides a more attractive approach in whi…
View article: Integrating a Global Supply Chain Model With a Computable General Equilibrium Model
Integrating a Global Supply Chain Model With a Computable General Equilibrium Model Open
Global supply chain (GSC) trade results from decisions by firms producing final goods to allocate underlying tasks to dedicated facilities in different countries. These decisions create cross-border flows of products at various stages of c…
View article: The economic impact and efficiency of state and federal taxes in Australia
The economic impact and efficiency of state and federal taxes in Australia Open
The Henry Review of Australia's Future Tax System (2009), made several recommendations to promote resilience, fairness, and prosperity via tax reform. Some of the key reforms suggested include a reduction in Australia's federally-imposed c…